Understanding Monomials

What is a monomial?

• A variable with a fractional exponent.

• A number, a variable, or a product of numbers and variables with positive integer exponents.

• A sum of numbers and variables.

• A product of numbers and variables with negative exponents.

In the monomial -7x, what is the coefficient?

• -7

• 7

• 1

• x

How is the degree of a monomial with more than one variable determined?

• By the coefficient.

• By the number of variables.

• By the sum of the exponents of all variables.

• By the highest exponent of any variable.

What is the result of multiplying -3x^5y by 4x^2y^3?

• 12x^10y^6

• 12x^7y^4

• -12x^10y^6

• -12x^7y^4

When dividing monomials, what should you do with the exponents of like bases?

• Divide them.

• Subtract them.

• Add them.

• Multiply them.

What must be true for monomials to be considered like terms?

• They must have the same number of variables.

• They must have the same degree.

• They must have the same variable part.

• They must have the same coefficient.

How do you add the monomials 3x and 5x?

• Divide the coefficients and keep the variable.

• Subtract the coefficients and keep the variable.

• Multiply the coefficients and keep the variable.

• Add the coefficients and keep the variable.

What is the result of adding 4x^3 and 5x^3?

• 20x^6

• 9x^3

• 1x^3

• 9x^6

Why can't you add x^3 and y^3?

• They have different coefficients.

• They have different degrees.

• They are not like terms.

• They have different signs.

What property explains why 3x + 5x equals 8x?

• Identity Property

• Commutative Property

• Associative Property

• Distributive Property